Weibull distribution using the fatigue test as an example (survival/failure/reliability analysis)

In this video we take a closer look at the Weibull distribution, which is often used in failure analysis to describe the failure of mechanical or electronic components.

00:00 Stress-cycle curve (Wöhler curve)
02:34 Cumulative frequency
04:13 Frequency (histogram)
05:17 Relationship between frequency and cumulative frequency
05:57 Relative frequency
06:59 Probability
07:38 Corrected probability (population and sample)
10:54 Weibull distribution
13:07 Determination of the probability
15:02 Determination of the Weibull modulus and the scale parameter
17:00 Evaluation of the data (Weibull plot)
19:41 Characteristic lifetime
20:28 Weibull density function
22:03 Mean time to failure (empirical expected value)
23:03 Sample variance (empirical standard deviation)
24:18 Expected value and standard deviation
25:22 Probability of survival (reliability)
27:14 Absolute failure rate
28:47 Relative failure rate (hazard function)
30:57 Derivation of the hazard function
33:34 Selected Weibull distribution functions in comparison
34:43 Bathtub curve
36:31 Weibull distribution with failure free time